We consider the following problem in haptics: information update from the virtual world is slow w.r.t. the local servo-loop rate of the haptic device, and the information transmission/update between the haptic device and the virtual world is of variable rate and/or asynchronous. For this, we propose a novel control framework, that, by relying on our recently proposed passive set-position modulation (PSPM) and discrete-time passive non-iterative integrators, enables us to enforce two-port hybrid (i.e. continuous-discrete) passivity for such slow and variable/asynchronous haptics as well as to separate the virtual world simulation design from the device's servo-loop tuning. Relevant experimental results are also presented.